基于梯度依赖的非局部摩擦模型的土坡稳定性分析  

Analysis of Slope Stability Based on Gradient-Dependent Non-Local Friction Model

作　　者：扶名福[1] 谢帮华[2] 廖小红[3] 余丽[4] 

机构地区：[1]南昌工程学院党委(校长)办公室,南昌330021 [2]南昌大学科学技术学院,南昌330029 [3]南昌大学建筑工程学院,南昌330031 [4]南昌工程学院土木与建筑学院,南昌330021

出　　处：《应用数学和力学》2013年第11期1173-1181,共9页Applied Mathematics and Mechanics

基　　金：教育部博士学科点专项科研基金资助项目(20123601110001)

摘　　要：研究了基于梯度依赖的非局部摩擦模型下圆弧滑裂面土坡的稳定性,并对梯度依赖的非局部材料参数进行讨论与分析,研究了此参数对土坡安全系数的影响,从微观的角度分析宏观工程问题发挥机理的本质,发现带微观性质的非局部材料参数变化时,土坡安全系数变化虽然不大,但变化趋势很明显.当讨论土体相关参数对安全系数的影响时,根据梯度依赖的非局部摩擦模型与局部摩擦模型的对比,发现安全系数对内摩擦角的变化比较敏感,可为工程中土坡治理提供参考依据.The stability of the slope with arc-shaped slip surface was studied based on the gradient-dependent non-local friction model and the gradient-dependent non-local material parameters were discussed. The material parameters＇ influence on the safety factor of slope stablity was analyzed from a microview with the mechanism of macro engineering problems probed. It is found that, when the non-local material parameters with microscopic properties change, the change of the slope safety factor will be not so big, but the trend will be very obvious. To dis- cuss the influence of soil parameters on the safety factor, the gradient-dependent non-local fric- tion model was compared with the local friction model, and the safety factor was found to be sensitive to the soil internal friction angle. The results provide useful reference for the engineering of soil slope treatment.

关 键 词：非局部摩擦 梯度依赖 土坡稳定 安全系数 

分 类 号：O39[理学—工程力学] TU441.35[理学—力学]